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snow_lady [41]
3 years ago
15

Which of the following is the sum of 1/2 and -2/3

Mathematics
1 answer:
Lilit [14]3 years ago
4 0

Answer:

- 1/6

Step-by-step explanation:

find the common denominators 3/6 - 4/6 = - 1/6

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The school that Emily goes to is selling tickets to a fall musical. On the first day of ticket sales the school sold24 adult tic
qwelly [4]

Answer:

Step-by-step explanation:

Let x represent the price of one adult ticket.

Let y represent the price of one student ticket.

On the first day of ticket sales the school sold 24 adult tickets and 3 student tickets for a total of $223.00. This means that

24x + 3y = 223 - - - - - - - - - - - -1

The school took in $152 on the second day by selling 7 adult tickets and 6 student tickets. This means that

7x + 6y = 152 - - - - - - - - - - - - - -2

Multiplying equation 1 by 6 and equation 2 by 3, it becomes

144x + 18y = 1338

21x + 18y = 456

Subtracting, it becomes

123x = 882

x = 882/123

x = 7.17

Substituting x = 7.17 into equation 2, it becomes

7 × 7.17 + 6y = 152

50.19 + 6y = 152

6y = 152 - 50.19 = 101.81

y = 101.81/6 = 16.97

3 0
3 years ago
Use rhombus ABCD and the given information to find each value.​
Semmy [17]

Answer: (c) 31    (d) 30     (e) 41     (f) 10

<u>Step-by-step explanation:</u>

NOTES about angles of a rhombus:

  1. diagonals are angle bisectors (cut the angle into 2 equal parts)
  2. diagonals are perpendicular to each other (90°)
  3. two adjacent triangles of a rhombus form an isosceles triangle

(c) Given: ∠CBD = 59°

    Per rule 2  →  ∠BEC = 90°

    Triangle Sum Theorem: sum of the angles of a triangle = 180°

∠CBD + ∠BEC  + ∠BCE = 180°

  59°  +    90°   + ∠BCE = 180°

       149°          + ∠BCE = 180°

                           ∠BCE =  31°

(d) Given:  ∠BCD = 120°

   Per rule 3  →   ∠CBD = ∠CDB

   Triangle Sum Theorem: sum of the angles of a triangle = 180°

∠CBD + ∠CDB  + ∠BCD = 180°

           2∠CBD  +   120°  = 180°

           2∠CBD                =  60°

             ∠CBD                =  30°

(e) Given: ∠AED = 2x+8

    Per rule 2  →  ∠AED = 90°

                            2x+8  = 90

                            2x      = 82

                              x      = 41

(f) Given: ∠BCE = 3x + 3  and   ∠ECD = 5x - 17

   Per rule 1   →    ∠BCE = ∠ECD

                           3x + 3 = 5x- 17

                                   3 = 2x - 17

                                 20 = 2x

                                  10 = x

4 0
3 years ago
Use the quadratic formula to solve 5x^2+2x-3
Lisa [10]
Assuming it equals 0
for
ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^2-4ac} }{2a}

given
5x^2+2x-3=0
a=5
b=2
c=-3

x=\frac{-2+/- \sqrt{2^2-4(5)(-3)} }{2(5)}
x=\frac{-2+/- \sqrt{4+60} }{10}
x=\frac{-2+/- \sqrt{64} }{10}
x=\frac{-2+/- 8 }{10}
x=(-2+8)/10 or (-2-8)/10
x=6/10 or -10/10
x=3/5 or -1
6 0
3 years ago
The variable z is directly proportional to x, and inversely proportional to y. When x is 9 and y is 6, z has the value 19.5. Wha
Pavel [41]

Given that, the variable z is directly proportional to x, and inversely proportional to y.

So, we can set up an equation as following:

z= k \frac{x}{y} Where k = constant of variation.

Another information given in the problem is, when x is 9 and y is 6, z has the value 19.5.

So, x = 9, y = 6 and z = 19.5.

Let's plug in these values in the above equation. So,

19.5= k \frac{9}{6}

19.5 = k* 1.5

\frac{19.5}{1.5} =k Divided each sides by 1.5 to isolate k.

So, k = 13.

Hence, the equation will be z= 13 \frac{x}{y}.

Now we need to find the value of z when x= 14, and y= 11 . Therefore,

z= 13*\frac{14}{11}

z= \frac{182}{11}

So, z= 16.5 (Rounded to tenth).

Hope this helps you!

8 0
3 years ago
Help with the ones not answers I need help asap please
vodomira [7]

Answer:

Scan your math solve in brainly so you can answer that

Step-by-step explanation:

I hope my answer will help that

6 0
2 years ago
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